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131784898976640 = 273457131931431103
BaseRepresentation
bin11101111101101110010000…
…000101110001101110000000
3122021121111212012022222120000
4131331232100011301232000
5114233130433114223030
61144141051413320000
736521100435526410
oct3575562005615600
9567544765288500
10131784898976640
1138a99730935518
1212944968036000
13586c35506cac0
1424785cd16a640
1510380634d4860
hex77db90171b80

131784898976640 has 5120 divisors, whose sum is σ = 644609271398400. Its totient is φ = 24876591022080.

The previous prime is 131784898976617. The next prime is 131784898976669. The reversal of 131784898976640 is 46679898487131.

131784898976640 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 8 + 489 + 8 + 9 + 76 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 131784898976640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 119478602329 + ... + 119478603431.

It is an arithmetic number, because the mean of its divisors is an integer number (125900248320).

Almost surely, 2131784898976640 is an apocalyptic number.

131784898976640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131784898976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322304635699200).

131784898976640 is an abundant number, since it is smaller than the sum of its proper divisors (512824372421760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131784898976640 is a wasteful number, since it uses less digits than its factorization.

131784898976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 131784898976640 in words is "one hundred thirty-one trillion, seven hundred eighty-four billion, eight hundred ninety-eight million, nine hundred seventy-six thousand, six hundred forty".